Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Chapter 5, Problem 139ACI
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Twenty-eight applicants interested in working for the Food Stamp program took an examination designed
to measure their aptitude for social work. A stem-and-leaf plot of the 28 scores appears below, where the
first column is the count per branch, the second column is the stem value, and the remaining digits are the
leaves.
a) List all the values.
Count
1
Stems
Leaves
4
6
1
4
6
567
9
3688
026799
9
8
145667788
7
9
1234788
b) Calculate the first quartile (Q1) and the third Quartile (Q3).
c) Calculate the interquartile range.
d) Construct a boxplot for this data.
Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?
Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).
If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}.
Using the lone-divider method, how many different fair divisions of this cake are possible?
Chapter 5 Solutions
Statistics (13th Edition)
Ch. 5.2 - Give a characteristic of a uniform random...Ch. 5.2 - The uniform distribution is sometimes referred to...Ch. 5.2 - Suppose x is a random variable best described by a...Ch. 5.2 - Refer to Exercise 5.3. Find the following...Ch. 5.2 - Suppose x is a random variable best described by a...Ch. 5.2 - Refer to Exercise 5.5. Find the value of a that...Ch. 5.2 - 4.137 The random variable x is best described by a...Ch. 5.2 - The random variable x is best described by a...Ch. 5.2 - Prob. 5.1AECh. 5.2 - Prob. 5.2AE
Ch. 5.2 - Prob. 9ACBCh. 5.2 - 4.175 Requests to a Web server. According to...Ch. 5.2 - 4.142 Detecting anthrax. Researchers at the...Ch. 5.2 - Prob. 12ACBCh. 5.2 - Prob. 13ACBCh. 5.2 - Social network densities. Social networks involve...Ch. 5.2 - Prob. 15ACICh. 5.2 - Prob. 16ACICh. 5.2 - 4.147 Soft-drink dispenser. The manager of a local...Ch. 5.2 - Time delays at a bus stop. A bus is scheduled to...Ch. 5.2 - Prob. 19ACACh. 5.2 - Reliability of a robotic device. The reliability...Ch. 5.3 - Describe the shape of a normal probability...Ch. 5.3 - If x has a normal distribution with mean μ and...Ch. 5.3 - What is the name given to a normal distribution...Ch. 5.3 - Find the area under the standard normal...Ch. 5.3 - Find each of the following probabilities for a...Ch. 5.3 - Find the following probabilities for the standard...Ch. 5.3 - 4.90 Give the z-score for a measurement from a...Ch. 5.3 - Find a value z0 of the standard normal random...Ch. 5.3 - 4.88 Find a value of the standard normal random...Ch. 5.3 - Suppose the random variable x is best described by...Ch. 5.3 - 4.93 Suppose x is a normally distributed random...Ch. 5.3 - Suppose x is a normally distributed random...Ch. 5.3 - Refer to Exercise 5.32. Find x0 such that
10% of...Ch. 5.3 - Suppose x is a normally distributed random...Ch. 5.3 - The random variable x has a normal distribution...Ch. 5.3 - The random variable x has a normal distribution...Ch. 5.3 - Applet Exercise 4.6
Open the applet Sample from a...Ch. 5.3 - Dental anxiety study. To gauge their fear of going...Ch. 5.3 - 4.99 Tomato as a taste modifier. Miraculin—a...Ch. 5.3 - Deep mixing of soil. Deep mixing is a ground...Ch. 5.3 - Prob. 40ACBCh. 5.3 - Shopping vehicle and judgment. Refer to the...Ch. 5.3 - Shell lengths of sea turtles. Refer to the Aquatic...Ch. 5.3 - Prob. 43ACBCh. 5.3 - 4.191 Optimal goal target in soccer. When...Ch. 5.3 - 4.106 Voltage sags and swells. Refer to the...Ch. 5.3 - Prob. 46ACICh. 5.3 - Prob. 47ACICh. 5.3 - 4.199 Rating employee performance. Almost all...Ch. 5.3 - 4.112 California’s electoral college votes. During...Ch. 5.3 - Alcohol, threats, and electric shocks. A group of...Ch. 5.3 - 4.116 Box plots and the standard normal...Ch. 5.3 - Load on frame structures. In the Journal of the...Ch. 5.3 - Executive coaching and meeting effectiveness. Poor...Ch. 5.4 - Why is it important to check whether the sample...Ch. 5.4 - Give four methods for determining whether the...Ch. 5.4 - 4.117 If a population data set is normally...Ch. 5.4 - What is a normal probability plot and how is it...Ch. 5.4 - Prob. 59LMCh. 5.4 - 4.118 Consider a sample data set with the...Ch. 5.4 - Examine the following sample data.
Construct a...Ch. 5.4 - Examine the sample data in the next...Ch. 5.4 - Irrelevant speech effects. Refer to the analysis...Ch. 5.4 - Prob. 64ACBCh. 5.4 - Prob. 65ACBCh. 5.4 - 4.122 Shear strength of rock fractures....Ch. 5.4 - Estimating glacier elevations. Digital elevation...Ch. 5.4 - Prob. 68ACBCh. 5.4 - Prob. 69ACICh. 5.4 - Prob. 71ACICh. 5.4 - Prob. 72ACICh. 5.4 - 4.130 Permeability of sandstone during weathering....Ch. 5.4 - Prob. 74ACICh. 5.4 - Blond hair types in the Southwest Pacific. Refer...Ch. 5.4 - Prob. 76ACACh. 5.5 - For large n (say, n = 100), why is it advantageous...Ch. 5.5 - Prob. 78UPCh. 5.5 - Suppose x is a binomial random variable with p =...Ch. 5.5 - Assume that x is a binomial random variable with n...Ch. 5.5 - Prob. 81LMCh. 5.5 - Prob. 82LMCh. 5.5 - Assume that x is a binomial random variable with n...Ch. 5.5 - 4.103 Blood diamonds. According to Global Research...Ch. 5.5 - Prob. 85ACBCh. 5.5 - Where will you get your next pet? Refer to...Ch. 5.5 - Analysis of bottled water. Refer to the report on...Ch. 5.5 - LASIK surgery complications. According to studies,...Ch. 5.5 - Cesarean birth study. In Exercise 4.73 (p. 212),...Ch. 5.5 - Chemical signals of mice. Refer to the Cell (May...Ch. 5.5 - Prob. 91ACICh. 5.5 - Prob. 92ACICh. 5.5 - Prob. 93ACICh. 5.5 - Body fat in men. The percentage of fat in the...Ch. 5.5 - Prob. 95ACACh. 5.5 - Prob. 96ACACh. 5.6 - What are the characteristics of an exponential...Ch. 5.6 - The exponential distribution is often called the...Ch. 5.6 - Determine the value of e−a/θ for each of the...Ch. 5.6 - 4.135 Suppose x has an exponential distribution...Ch. 5.6 - 4.136 Suppose x has an exponential distribution...Ch. 5.6 - 4.138 The random variable x can be adequately...Ch. 5.6 - Prob. 103LMCh. 5.6 - Prob. 104ACBCh. 5.6 - Prob. 105ACBCh. 5.6 - 4.144 Critical-part failures in NASCAR vehicles....Ch. 5.6 - Prob. 107ACBCh. 5.6 - 4.140 Preventative maintenance tests. The optimal...Ch. 5.6 - Prob. 109ACICh. 5.6 - Prob. 110ACICh. 5.6 - Prob. 111ACICh. 5.6 - Prob. 112ACICh. 5.6 - Prob. 113ACACh. 5.6 - Prob. 114ACACh. 5 - Prob. 115UPCh. 5 - Prob. 116UPCh. 5 - 4.165 Find the following probabilities for the...Ch. 5 - Prob. 118LMCh. 5 - The random variable x has a normal distribution...Ch. 5 - The random variable x has a normal distribution...Ch. 5 - Prob. 121LMCh. 5 - Prob. 122LMCh. 5 - Prob. 123LMCh. 5 - Prob. 124ACBCh. 5 - Prob. 125ACBCh. 5 - Prob. 126ACBCh. 5 - Prob. 127ACBCh. 5 - Prob. 128ACBCh. 5 - Prob. 129ACBCh. 5 - Prob. 130ACBCh. 5 - Prob. 131ACBCh. 5 - Where will you get your next pet? Refer to...Ch. 5 - Prob. 133ACBCh. 5 - Prob. 134ACBCh. 5 - Prob. 135ACBCh. 5 - Prob. 136ACICh. 5 - Visually impaired students. The Journal of Visual...Ch. 5 - Prob. 138ACICh. 5 - Prob. 139ACICh. 5 - Prob. 140ACICh. 5 - Galaxy velocity study. Recall The Astronomical...Ch. 5 - Prob. 142ACICh. 5 - Prob. 143ACICh. 5 - Prob. 144ACICh. 5 - 4.126 Wear-out of used display panels. Wear-out...Ch. 5 - Prob. 146ACICh. 5 - Forest development following wildfires. Ecological...Ch. 5 - Prob. 148ACICh. 5 - Prob. 149ACICh. 5 - Prob. 150ACICh. 5 - Prob. 151ACICh. 5 - 4.152 Reliability of CO-ROMs. In Reliability Ques...Ch. 5 - Prob. 153ACACh. 5 - Prob. 154ACACh. 5 - Prob. 155ACACh. 5 - Prob. 156CTCCh. 5 - Prob. 157CTC
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- Theorem 2.6 (The Minkowski inequality) Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and E|Y P <00. Then X+YpX+Yparrow_forwardTheorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and set Var X = 0². Then, for 0 0, P(X > x) ≤e-x+1²² P(|X|>x) ≤2e-1x+1²² (ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for x > 0. and 0x) ≤2 exp Σ k=1 (iii) If, in addition, X1, X2, X, are identically distributed, then P(S|x) ≤2 expl-tx+nt²o).arrow_forwardTheorem 5.1 (Jensen's inequality) state without proof the Jensen's Ineg. Let X be a random variable, g a convex function, and suppose that X and g(X) are integrable. Then g(EX) < Eg(X).arrow_forward
- Can social media mistakes hurt your chances of finding a job? According to a survey of 1,000 hiring managers across many different industries, 76% claim that they use social media sites to research prospective candidates for any job. Calculate the probabilities of the following events. (Round your answers to three decimal places.) answer parts a-c. a) Out of 30 job listings, at least 19 will conduct social media screening. b) Out of 30 job listings, fewer than 17 will conduct social media screening. c) Out of 30 job listings, exactly between 19 and 22 (including 19 and 22) will conduct social media screening. show all steps for probabilities please. answer parts a-c.arrow_forwardQuestion: we know that for rt. (x+ys s ا. 13. rs. and my so using this, show that it vye and EIXI, EIYO This : E (IX + Y) ≤2" (EIX (" + Ely!")arrow_forwardTheorem 2.4 (The Hölder inequality) Let p+q=1. If E|X|P < ∞ and E|Y| < ∞, then . |EXY ≤ E|XY|||X|| ||||qarrow_forward
- Theorem 7.6 (Etemadi's inequality) Let X1, X2, X, be independent random variables. Then, for all x > 0, P(max |S|>3x) ≤3 max P(S| > x). Isk≤narrow_forwardTheorem 7.2 Suppose that E X = 0 for all k, that Var X = 0} x) ≤ 2P(S>x 1≤k≤n S√2), -S√2). P(max Sk>x) ≤ 2P(|S|>x- 1arrow_forwardThree players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).If the chooser's declarations are Chooser 1: {s3} and Chooser 2: {s3}, which of the following is a fair division of the cake?arrow_forwardTheorem 1.4 (Chebyshev's inequality) (i) Suppose that Var X x)≤- x > 0. 2 (ii) If X1, X2,..., X, are independent with mean 0 and finite variances, then Στη Var Xe P(|Sn| > x)≤ x > 0. (iii) If, in addition, X1, X2, Xn are identically distributed, then nVar Xi P(|Sn> x) ≤ x > 0. x²arrow_forwardTheorem 2.5 (The Lyapounov inequality) For 0arrow_forwardTheorem 1.6 (The Kolmogorov inequality) Let X1, X2, Xn be independent random variables with mean 0 and suppose that Var Xk 0, P(max Sk>x) ≤ Isk≤n Σ-Var X In particular, if X1, X2,..., X, are identically distributed, then P(max Sx) ≤ Isk≤n nVar X₁ x2arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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